## MA8351 DM Syllabus

Anna University Regulation 2017 CSE MA8351 DM Syllabus for all 5 units are provided below. Download link for CSE 3rd SEM MA8351 DISCRETE MATHEMATICS Engineering Syllabus is listed down for students to make perfect utilization and score maximum marks with our study materials.

### Anna University Regulation 2017 Computer Science Engineering (CSE) 3rd SEM MA8351 CT DISCRETE MATHEMATICS Engineering Syllabus

MA8351 DISCRETE MATHEMATICS
OBJECTIVES:
 To extend student‘s logical and mathematical maturity and ability to deal with abstraction.
 To introduce most of the basic terminologies used in computer science courses and
application of ideas to solve practical problems.
 To understand the basic concepts of combinatorics and graph theory.
 To familiarize the applications of algebraic structures.
 To understand the concepts and significance of lattices and boolean algebra which are
widely used in computer science and engineering.
UNIT I LOGIC AND PROOFS
Propositional logic – Propositional equivalences – Predicates and quantifiers – Nested quantifiers –
Rules of inference – Introduction to proofs – Proof methods and strategy.
UNIT II COMBINATORICS
Mathematical induction – Strong induction and well ordering – The basics of counting – The
pigeonhole principle – Permutations and combinations – Recurrence relations – Solving linear
recurrence relations – Generating functions – Inclusion and exclusion principle and its applications

UNIT III GRAPHS
Graphs and graph models – Graph terminology and special types of graphs – Matrix
representation of graphs and graph isomorphism – Connectivity – Euler and Hamilton paths.
UNIT IV ALGEBRAIC STRUCTURES
Algebraic systems – Semi groups and monoids – Groups – Subgroups – Homomorphism‘s –
Normal subgroup and cosets – Lagrange‘s theorem – Definitions and examples of Rings and
Fields.
UNIT V LATTICES AND BOOLEAN ALGEBRA
Partial ordering – Posets – Lattices as posets – Properties of lattices – Lattices as algebraic
systems – Sub lattices – Direct product and homomorphism – Some special lattices – Boolean
algebra.

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MA8351 DM Syllabus

Anna University 3rd Sem CSE DM Syllabus